Design: Blocked RCT, with 2 levels, and randomization done at level 1 (individual level).
Models: Constant treatment effects, fixed treatment effects, and random treatment effects.
Default parameters:
Parameters by model type:
Assumptions:
\(\bar{n}\) = 50
\(\bar{n}\) = 50
\(\bar{n}\) = 50
\(R^2_1 =\) 0.6, 0.6, 0.6
\(R^2_2 =\) 0.6, 0.6, 0.6 (This should not affect power!)
\(\rho =\) 0.2
\(\rho =\) 0.8
ATE (ES) = 0.125, 0, 0
\(\text{ICC}_2\) = 0.8, 0.8, 0.8
##
##
## +------------+---------------+-------------+---------------+
## | MTP | Adjusted MDES | Indiv Power | Targeted MDES |
## +============+===============+=============+===============+
## | rawp | 0.126 | 0.509 | 0.125 |
## +------------+---------------+-------------+---------------+
## | Bonferroni | 0.124 | 0.334 | 0.125 |
## +------------+---------------+-------------+---------------+
## | BH | 0.124 | 0.418 | 0.125 |
## +------------+---------------+-------------+---------------+
## | Holm | 0.127 | 0.401 | 0.125 |
## +------------+---------------+-------------+---------------+
##
## Table: blocked_i1_2c
##
##
## +------------+---------------+-------------+---------------+
## | MTP | Adjusted MDES | Indiv Power | Targeted MDES |
## +============+===============+=============+===============+
## | rawp | 0.124 | 0.5 | 0.125 |
## +------------+---------------+-------------+---------------+
## | Bonferroni | 0.124 | 0.331 | 0.125 |
## +------------+---------------+-------------+---------------+
## | BH | 0.125 | 0.429 | 0.125 |
## +------------+---------------+-------------+---------------+
## | Holm | 0.124 | 0.384 | 0.125 |
## +------------+---------------+-------------+---------------+
##
## Table: blocked_i1_2f
##
##
## +------------+---------------+-------------+---------------+
## | MTP | Adjusted MDES | Indiv Power | Targeted MDES |
## +============+===============+=============+===============+
## | rawp | 0.124 | 0.428 | 0.125 |
## +------------+---------------+-------------+---------------+
## | Bonferroni | 0.125 | 0.243 | 0.125 |
## +------------+---------------+-------------+---------------+
## | BH | 0.126 | 0.346 | 0.125 |
## +------------+---------------+-------------+---------------+
## | Holm | 0.123 | 0.288 | 0.125 |
## +------------+---------------+-------------+---------------+
##
## Table: blocked_i1_2r
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample Type | Sample Size | D1indiv power |
## +======+=============+=============+===============+
## | BH | J | 21 | 0.444 |
## +------+-------------+-------------+---------------+
## | Holm | J | 21 | 0.413 |
## +------+-------------+-------------+---------------+
## | BH | nbar | 50 | 0.426 |
## +------+-------------+-------------+---------------+
## | Holm | nbar | 52 | 0.409 |
## +------+-------------+-------------+---------------+
##
## Table: blocked_i1_2c
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample Type | Sample Size | D1indiv power |
## +======+=============+=============+===============+
## | BH | J | 20 | 0.415 |
## +------+-------------+-------------+---------------+
## | Holm | J | 20 | 0.394 |
## +------+-------------+-------------+---------------+
## | BH | nbar | 50 | 0.423 |
## +------+-------------+-------------+---------------+
## | Holm | nbar | 52 | 0.402 |
## +------+-------------+-------------+---------------+
##
## Table: blocked_i1_2f
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample Type | Sample Size | D1indiv power |
## +======+=============+=============+===============+
## | BH | J | 20 | 0.328 |
## +------+-------------+-------------+---------------+
## | Holm | J | 20 | 0.288 |
## +------+-------------+-------------+---------------+
## | BH | nbar | 50 | 0.339 |
## +------+-------------+-------------+---------------+
## | Holm | nbar | 49 | 0.28 |
## +------+-------------+-------------+---------------+
##
## Table: blocked_i1_2r